Abstract :
[en] We update the study of the production of direct $J/\Psi$ in association with a $Z$
boson at the Next-to-Leading Order (NLO) in $\alpha_S$ by evaluating both the yield differential in $P_T$ and the $J/\Psi$ polarisation in the QCD-based Colour-Singlet Model (CSM). Contrary to an earlier claim, QCD corrections at small and mid $P_T$ are small if one assumes that the factorisation and the renormalisation scales are commensurate with the $Z$ boson mass. As it
can be anticipated, the t-channel gluon-exchange (t−CGE) topologies start to be dominant only for $P_T > m_Z/2$. The polarisation pattern is not altered by the QCD corrections. This is thus far the first quarkonium-production process where this is observed in the CSM. Along the same lines, our predictions for direct $\Upsilon + Z$ are also given.
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